Longterm, you may be OK. I had a similar situation with Coker......10 openings.
I signed four the first time and went 1-26, RPI 271. I went slowdown and gave the new guys as many minutes as possible.
I signed six more the next season and improved to 14-14, RPI 90, just missing the PIT.
This season, with mostly juniors and sophomores, we're 17-2, RPI 34.
Since you're not likely to win any games, and you want your freshmen improving as much as possible, you might go with 'target minutes' instead of 'fatigue'. You''ll get more minutes from your starters and, although they'll play tired much of the game, they'll still be better than the walkons.